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Finding the Fourth Proportional to 20,217.59, 30,312.04 and 7,727.09

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Solution

The fourth proportional to 20,217.59, 30,312.04 and 7,727.09 is: 11,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.59 : 30,312.04 = 7,727.09 : x
  2. Step 2: Convert to fraction form
    20,217.59/30,312.04 = 7,727.09/x
  3. Step 3: Cross multiply
    20,217.59x = 30,312.04 × 7,727.09
  4. Step 4: Simplify right side
    20,217.59x = 234,223,861.16
  5. Step 5: Solve for x
    x = 234,223,861.16/20,217.59
  6. Step 6: Final answer
    x = 11,585.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.